Hausdorff operators on p-adic linear spaces and their properties in Hardy, BMO, and Hölder spaces

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Abstract

Sufficient conditions for the boundedness of p-adic matrix operators in Hardy, Hölder and BMO spaces are obtained. These conditions are expressed in terms of the determinant of the matrix and its norm in a p-adic linear space. © 2013 Pleiades Publishing, Ltd.

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Volosivets, S. S. (2013). Hausdorff operators on p-adic linear spaces and their properties in Hardy, BMO, and Hölder spaces. Mathematical Notes, 93(3–4), 382–391. https://doi.org/10.1134/S0001434613030048

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